• Title/Summary/Keyword: the imaginary

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Orthogonal Filter Design Using Improved Fast Wash Transform Algorithm (개선된 고속월쉬변환 알고리즘을 이용한 직교필터 설계)

  • Shin, Seung-Kwon;Cho, Young-Ho;Kim, Tai-Hoon;Jung, Je-Wook;Lee, Han-Seok;Ahn, Doo-Soo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.50 no.6
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    • pp.272-282
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    • 2001
  • This paper developed improved fast Walsh transform based on dyadic-ordered fast Walsh transform, then regenerated signal flow graph of improved fast Walsh transform, and used it for digital filtering, and then measured fundamental frequency and harmonics for current and voltage signals of power system. Using the improved fast Walsh transform, we present a new algorithm which reduces the computational amount, and it can consequently calculate the real and imaginary components for current and voltage signals of power system in sampling intervals. The calculation amount is reduced to 2(N-1) at N samples to measure full harmonics using developed algorithm. When, in single harmonic measuring, it needs only 2(log2N-1) additions and subtractions.

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A Study on the Camera Calibration Algorithm of Robot Vision Using Cartesian Coordinates

  • Lee, Yong-Joong
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.11 no.6
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    • pp.98-104
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    • 2002
  • In this study, we have developed an algorithm by attaching a camera at the end-effector of industrial six-axis robot in order to determine position and orientation of the camera system from cartesian coordinates. Cartesian coordinate as a starting point to evaluate for suggested algorithm, it was easy to confront increase of orientation vector for a linear line point that connects two points from coordinate space applied by recursive least square method which includes previous data result and new data result according to increase of image point. Therefore, when the camera attached to the end-effector has been applied to production location, with a calibration mask that has more than eight points arranged, this simulation approved that it is possible to determine position and orientation of cartesian coordinates of camera system even without a special measuring equipment.

The Relationships between Children's Emotional and Behavioral Problems, Attachment, Fears and Coping Behaviors (정서행동문제아의 부모 및 또래에 대한 애착과 두려움, 스트레스 대처행동 간의 관계)

  • Koo, Mee-Hyang
    • Korean Journal of Child Studies
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    • v.33 no.1
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    • pp.133-145
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    • 2012
  • The present study systematically analyzed the relationships between children's emotional and behavioral problems, attachment, fears and coping behaviors. The subjects of this study were 63 school-aged children residing in Seoul, Gwangiu and South Jeolla province. The findings indicated that emotional and behavioral problems were negatively correlated to children's attachments to their fathers and peers. The children's attachment to peers had a significant correlation as well as behavioral problems and coping strategies used by children in stressful situations. Emotional problems were explained by fears of realistic objects, the seeking out of social support, mother and father attachment, and fears of imaginary objects. In addition, behavioral problems were explained by aggressive coping behaviors and child-father attachment.

Comparison of Two Reactive Power Definitions in DFIG Wind Power System under Grid Unbalanced Condition

  • Ha, Daesu;Suh, Yongsug
    • Proceedings of the KIPE Conference
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    • 2014.07a
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    • pp.213-214
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    • 2014
  • This paper compares two instantaneous reactive power definitions in DFIG wind turbine with a back-to-back three-level neutral-point clamped voltage source converter under unbalanced grid conditions. In general, conventional definition of instantaneous reactive power is obtained by taking an imaginary component of complex power. The other definition of instantaneous reactive power can be developed based on a set of voltages lagging the grid input voltages by 90 degree. A complex quantity referred as a quadrature complex power is defined. Proposed definition of instantaneous reactive power is derived by taking a real component of quadrature complex power. The characteristics of two instantaneous reactive power definitions are compared using the ripple-free stator active power control algorithm in DFIG. Instantaneous reactive power definition based on quadrature complex power has a simpler current reference calculation control block. Ripple of instantaneous active and reactive power has the same magnitude unlike in conventional definition under grid unbalance. Comparison results of two instantaneous reactive power definitions are verified through simulation.

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A CONJECTURE OF GROSS AND ZAGIER: CASE E(ℚ)tor ≅ ℤ/2ℤ OR ℤ/4ℤ

  • Dongho Byeon;Taekyung Kim;Donggeon Yhee
    • Journal of the Korean Mathematical Society
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    • v.60 no.5
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    • pp.1087-1107
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    • 2023
  • Let E be an elliptic curve defined over ℚ of conductor N, c the Manin constant of E, and m the product of Tamagawa numbers of E at prime divisors of N. Let K be an imaginary quadratic field where all prime divisors of N split in K, PK the Heegner point in E(K), and III(E/K) the Shafarevich-Tate group of E over K. Let 2uK be the number of roots of unity contained in K. Gross and Zagier conjectured that if PK has infinite order in E(K), then the integer c · m · uK · |III(E/K)| $\frac{1}{2}$ is divisible by |E(ℚ)tor|. In this paper, we prove that this conjecture is true if E(ℚ)tor ≅ ℤ/2ℤ or ℤ/4ℤ except for two explicit families of curves. Further, we show these exceptions can be removed under Stein-Watkins conjecture.

A Simple Sensorless Scheme for Induction Motor Drives Fed by a Matrix Converter Using Constant Air-Gap Flux and PQR Transformation

  • Lee, Kyo-Beum;Blaabjerg, Frede
    • International Journal of Control, Automation, and Systems
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    • v.5 no.6
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    • pp.652-662
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    • 2007
  • This paper presents a new and simple method for sensorless operation of matrix converter drives using a constant air-gap flux and the imaginary power flowing to the motor. To improve low-speed sensorless performance, the non-linearities of a matrix converter drive such as commutation delays, turn-on and turn-off times of switching devices, and on-state switching device voltage drop are modeled using PQR transformation and compensated using a reference current control scheme. The proposed compensation method is applied for high performance induction motor drives using a 3 kW matrix converter system. Experimental results are shown to illustrate the feasibility of the proposed strategy.

AN AFFINE MODEL OF X0(mn)

  • Choi, So-Young;Koo, Ja-Kyung
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.2
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    • pp.379-383
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    • 2007
  • We show that the modular equation ${\phi}^{T_n}_m$ (X, Y) for the Thompson series $T_n$ corresponding to ${\Gamma}_0$(n) gives an affine model of the modular curve $X_0$(mn) which has better properties than the one derived from the modular j invariant. Here, m and n are relative prime. As an application, we construct a ring class field over an imaginary quadratic field K by singular values of $T_n(z)\;and\;T_n$(mz).

Performance analysis of TR-UWB systems using Frequency-components (주파수 성분을 이용한 TR-UWB 시스템의 성능분석)

  • Jang, Dong-Heon;Yang, Hoon-Gee
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2008.05a
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    • pp.985-988
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    • 2008
  • This paper introduces a new TR-UWB system, using frequency-domain components of UWB pulses. This is achieved by separating converted frequency-components into real and imaginary parts, and both parts are correlated and effectively combined. We make an analysis that the new scheme improves performance compared with a conventional by complex correlation computing. The simulation results confirmed that the proposed scheme has better performance than existing system.

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A Study on the Spatial Characteristics in the Proun Raum (프로운 라움 공간특성에 관한 연구)

  • 김성혜
    • Korean Institute of Interior Design Journal
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    • no.38
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    • pp.14-20
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    • 2003
  • In 1923, El. Lissitzky designed ‘Proun Raum’ to realize his spatial experiment in paintings that are called 'Proun'. For this, Lissitzky taken Pome 'element' to construct his imaginary space that combine time with space. Especially, Quadrangle make an important role by the reason of its potential energy. In other words, alteration of its four corners turn Quadrangle to rectangle or square, etc, and describe some force, motion and location as itself. Analyzing 'Proun' and 'A and Pangeometry' that describes his spatial concept, spatial characteristics of 'Proun Raum' are comprehended, and the significance of spatial construction method in 'Proun Raum' are summarized as follows; occurrence of spectator's visual guide by elements, secession of afterimage, do-construction of the border.

GENERATION OF RAY CLASS FIELDS MODULO 2, 3, 4 OR 6 BY USING THE WEBER FUNCTION

  • Jung, Ho Yun;Koo, Ja Kyung;Shin, Dong Hwa
    • Journal of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.343-372
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    • 2018
  • Let K be an imaginary quadratic field with ring of integers ${\mathcal{O}}_K$. Let E be an elliptic curve with complex multiplication by ${\mathcal{O}}_K$, and let $h_E$ be the Weber function on E. Let $N{\in}\{2,3,4,6\}$. We show that $h_E$ alone when evaluated at a certain N-torsion point on E generates the ray class field of K modulo $N{\mathcal{O}}_K$. This would be a partial answer to the question raised by Hasse and Ramachandra.